“…In the late 1970 s, Kuramoto [1] and Sivashinsky [2] independently derived the Kuramoto-Sivashinsky (KS) equation and worked on turbulence phenomena in chemistry and thermal diffusive instability in laminar flame fronts. If b = 0, then equation (1) is defined as the KS equation, which is a canonical nonlinear evolution equation with a wide range of applications in modelling various scientific engineering, and physical phenomena, including diffusion and chaos [3][4][5][6] and the flow of thin liquid membranes, reaction diffusion systems [7][8][9][10][11] and stationary solitary pulses in a falling film [12]. This equation can also be used to define long waves in a viscous fluid along an inclined plane [13,14], stress waves in fragmented porous media [15], and unstable drift waves in plasma [16].…”